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121033222100 = 225271753191903
BaseRepresentation
bin111000010111000100…
…1000110011111010100
3102120102000100201202122
41300232021012133110
53440334001101400
6131334001555112
711513213261510
oct1605611063724
9376360321678
10121033222100
114736a10a18a
121b559945a98
13b54b286cab
145c02661140
153235a4a685
hex1c2e2467d4

121033222100 has 144 divisors (see below), whose sum is σ = 323817274368. Its totient is φ = 38318991360.

The previous prime is 121033222091. The next prime is 121033222103. The reversal of 121033222100 is 1222330121.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121033222103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534749 + ... + 726651.

It is an arithmetic number, because the mean of its divisors is an integer number (2248731072).

Almost surely, 2121033222100 is an apocalyptic number.

121033222100 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 121033222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161908637184).

121033222100 is an abundant number, since it is smaller than the sum of its proper divisors (202784052268).

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

121033222100 is a wasteful number, since it uses less digits than its factorization.

121033222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191994 (or 191987 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 121033222100 its reverse (1222330121), we get a palindrome (122255552221).

The spelling of 121033222100 in words is "one hundred twenty-one billion, thirty-three million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 53 68 70 85 100 106 119 140 170 175 212 238 265 340 350 371 425 476 530 595 700 742 850 901 1060 1190 1325 1484 1700 1802 1855 2380 2650 2975 3604 3710 4505 5300 5950 6307 7420 9010 9275 11900 12614 18020 18550 22525 25228 31535 37100 45050 63070 90100 126140 157675 191903 315350 383806 630700 767612 959515 1343321 1919030 2686642 3262351 3838060 4797575 5373284 6524702 6716605 9595150 10170859 13049404 13433210 16311755 19190300 20341718 22836457 26866420 32623510 33583025 40683436 45672914 50854295 65247020 67166050 71196013 81558775 91345828 101708590 114182285 134332100 142392026 163117550 172904603 203417180 228364570 254271475 284784052 326235100 345809206 355980065 456729140 508542950 570911425 691618412 711960130 864523015 1017085900 1141822850 1210332221 1423920260 1729046030 1779900325 2283645700 2420664442 3458092060 3559800650 4322615075 4841328884 6051661105 7119601300 8645230150 12103322210 17290460300 24206644420 30258305525 60516611050 121033222100