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121001022000012 = 2237111271031129819
BaseRepresentation
bin11011100000110010111110…
…111011110000101110001100
3120212102120210021021102212210
4123200302332323300232030
5111324440043113000022
61105203034020230420
734326015060613110
oct3340627673605614
9525376707242783
10121001022000012
1135611277479910
12116a298553b410
13526946936623b
1421c46a310d740
15dec7aa996a0c
hex6e0cbeef0b8c

121001022000012 has 96 divisors (see below), whose sum is σ = 354774650388480. Its totient is φ = 31181365696320.

The previous prime is 121001021999993. The next prime is 121001022000013. The reversal of 121001022000012 is 210000220100121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (121001022000013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515447562 + ... + 515682257.

It is an arithmetic number, because the mean of its divisors is an integer number (3695569274880).

Almost surely, 2121001022000012 is an apocalyptic number.

121001022000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121001022000012 is an abundant number, since it is smaller than the sum of its proper divisors (233773628388468).

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

121001022000012 is a wasteful number, since it uses less digits than its factorization.

121001022000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031129971 (or 1031129969 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121001022000012 its reverse (210000220100121), we get a palindrome (331001242100133).

The spelling of 121001022000012 in words is "one hundred twenty-one trillion, one billion, twenty-two million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 127 132 154 231 254 308 381 462 508 762 889 924 1397 1524 1778 2667 2794 3556 4191 5334 5588 8382 9779 10668 16764 19558 29337 39116 58674 117348 1031129819 2062259638 3093389457 4124519276 6186778914 7217908733 11342428009 12373557828 14435817466 21653726199 22684856018 28871634932 34027284027 43307452398 45369712036 68054568054 79396996063 86614904796 130953487013 136109136108 158793992126 238190988189 261906974026 317587984252 392860461039 476381976378 523813948052 785720922078 916674409091 952763952756 1440488357143 1571441844156 1833348818182 2750023227273 2880976714286 3666697636364 4321465071429 5500046454546 5761953428572 8642930142858 10083418500001 11000092909092 17285860285716 20166837000002 30250255500003 40333674000004 60500511000006 121001022000012