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121022001121120 = 25511419471639271
BaseRepresentation
bin11011100001000110100001…
…011000110000011101100000
3120212111120221100012012210021
4123201012201120300131200
5111330311024241333440
61105220423443443224
734330360002321361
oct3341064130603540
9525446840165707
10121022001121120
113561a162661030
12116a6a5b386514
13526b43084a878
1421c56d3469b68
15ded0d766c84a
hex6e11a1630760

121022001121120 has 96 divisors (see below), whose sum is σ = 311914328898816. Its totient is φ = 44006924428800.

The previous prime is 121022001121097. The next prime is 121022001121127. The reversal of 121022001121120 is 21121100220121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121022001121094 and 121022001121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121022001121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73007085 + ... + 74646355.

It is an arithmetic number, because the mean of its divisors is an integer number (3249107592696).

Almost surely, 2121022001121120 is an apocalyptic number.

121022001121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121022001121120 is an abundant number, since it is smaller than the sum of its proper divisors (190892327777696).

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

121022001121120 is a wasteful number, since it uses less digits than its factorization.

121022001121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681244 (or 1681236 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121022001121120 its reverse (21121100220121), we get a palindrome (142143101341241).

Subtracting from 121022001121120 its reverse (21121100220121), we obtain a palindrome (99900900900999).

The spelling of 121022001121120 in words is "one hundred twenty-one trillion, twenty-two billion, one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 41947 83894 167788 209735 335576 419470 461417 671152 838940 922834 1342304 1639271 1677880 1845668 2307085 3278542 3355760 3691336 4614170 6557084 6711520 7382672 8196355 9228340 13114168 14765344 16392710 18031981 18456680 26228336 32785420 36063962 36913360 52456672 65570840 72127924 73826720 90159905 131141680 144255848 180319810 262283360 288511696 360639620 577023392 721279240 1442558480 2885116960 68762500637 137525001274 275050002548 343812503185 550100005096 687625006370 756387507007 1100200010192 1375250012740 1512775014014 2200400020384 2750500025480 3025550028028 3781937535035 5501000050960 6051100056056 7563875070070 11002000101920 12102200112112 15127750140140 24204400224224 30255500280280 60511000560560 121022001121120