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121002220022100 = 223521963293354157
BaseRepresentation
bin11011100000110100000110…
…010101110110100101010100
3120212102200212202120021020020
4123200310012111312211110
5111330000021311201400
61105203352534105140
734326056545622634
oct3340640625664524
9525380782507206
10121002220022100
113561183175460a
12116a305a7ab1b0
1352695ca617351
1421c47782866c4
15dec82ac412a0
hex6e0d06576954

121002220022100 has 144 divisors (see below), whose sum is σ = 368584397630400. Its totient is φ = 30564142801920.

The previous prime is 121002220022053. The next prime is 121002220022113. The reversal of 121002220022100 is 1220022200121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121002220022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34398222 + ... + 37752378.

Almost surely, 2121002220022100 is an apocalyptic number.

121002220022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002220022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184292198815200).

121002220022100 is an abundant number, since it is smaller than the sum of its proper divisors (247582177608300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121002220022100 is a wasteful number, since it uses less digits than its factorization.

121002220022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360522 (or 3360515 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 121002220022100 its reverse (1220022200121), we get a palindrome (122222242222221).

The spelling of 121002220022100 in words is "one hundred twenty-one trillion, two billion, two hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 6329 12658 18987 25316 31645 37974 63290 75948 94935 120251 126580 158225 189870 240502 316450 360753 379740 474675 481004 601255 632900 721506 949350 1202510 1443012 1803765 1898700 2405020 3006275 3354157 3607530 6012550 6708314 7215060 9018825 10062471 12025100 13416628 16770785 18037650 20124942 33541570 36075300 40249884 50312355 63728983 67083140 83853925 100624710 127457966 167707850 191186949 201249420 251561775 254915932 318644915 335415700 382373898 503123550 637289830 764747796 955934745 1006247100 1274579660 1593224575 1911869490 3186449150 3823738980 4779673725 6372898300 9559347450 19118694900 21228459653 42456919306 63685378959 84913838612 106142298265 127370757918 212284596530 254741515836 318426894795 403340733407 424569193060 530711491325 636853789590 806681466814 1061422982650 1210022200221 1273707579180 1592134473975 1613362933628 2016703667035 2122845965300 2420044400442 3184268947950 4033407334070 4840088800884 6050111001105 6368537895900 8066814668140 10083518335175 12100222002210 20167036670350 24200444004420 30250555005525 40334073340700 60501110011050 121002220022100