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1123202001012 = 2237131531671831
BaseRepresentation
bin10000010110000100000…
…011100110100001110100
310222101011212201112121120
4100112010003212201310
5121400304203013022
62215554124543540
7144101664324240
oct20260403464164
93871155645546
101123202001012
113a339027a843
121618260b1bb0
1381bc0972460
143c512b39420
151e33c8b2d5c
hex105840e6874

1123202001012 has 96 divisors (see below), whose sum is σ = 3227717412864. Its totient is φ = 296035171200.

The previous prime is 1123202000993. The next prime is 1123202001017. The reversal of 1123202001012 is 2101002023211.

It is a junction number, because it is equal to n+sod(n) for n = 1123202000982 and 1123202001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123202001017) 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, 1335937 + ... + 2007767.

It is an arithmetic number, because the mean of its divisors is an integer number (33622056384).

Almost surely, 21123202001012 is an apocalyptic number.

1123202001012 is a gapful number since it is divisible by the number (12) 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 1123202001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613858706432).

1123202001012 is an abundant number, since it is smaller than the sum of its proper divisors (2104515411852).

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

1123202001012 is a wasteful number, since it uses less digits than its factorization.

1123202001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673389 (or 673387 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1123202001012 its reverse (2101002023211), we get a palindrome (3224204024223).

The spelling of 1123202001012 in words is "one trillion, one hundred twenty-three billion, two hundred two million, one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1531 3062 4593 6124 9186 10717 18372 19903 21434 32151 39806 42868 59709 64302 79612 119418 128604 139321 238836 278642 417963 557284 671831 835926 1343662 1671852 2015493 2687324 4030986 4702817 8061972 8733803 9405634 14108451 17467606 18811268 26201409 28216902 34935212 52402818 56433804 61136621 104805636 122273242 183409863 244546484 366819726 733639452 1028573261 2057146522 3085719783 4114293044 6171439566 7200012827 12342879132 13371452393 14400025654 21600038481 26742904786 28800051308 40114357179 43200076962 53485809572 80228714358 86400153924 93600166751 160457428716 187200333502 280800500253 374400667004 561601000506 1123202001012