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10122210000012 = 22311415869318679
BaseRepresentation
bin1001001101001100001010…
…1110110011110010001100
31022211200012012220111102010
42103103002232303302030
52311320241230000022
633310025025301220
72063206541245365
oct223230256636214
938750165814363
1010122210000012
113252894728930
121175903794810
1358569c165ab6
1426dcbbb96b6c
1512847de3d50c
hex934c2bb3c8c

10122210000012 has 96 divisors (see below), whose sum is σ = 26398635379200. Its totient is φ = 2992004006400.

The previous prime is 10122209999987. The next prime is 10122210000047. The reversal of 10122210000012 is 21000001222101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31603689 + ... + 31922367.

It is an arithmetic number, because the mean of its divisors is an integer number (274985785200).

Almost surely, 210122210000012 is an apocalyptic number.

10122210000012 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 10122210000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199317689600).

10122210000012 is an abundant number, since it is smaller than the sum of its proper divisors (16276425379188).

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

10122210000012 is a wasteful number, since it uses less digits than its factorization.

10122210000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324607 (or 324605 counting only the distinct ones).

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

Adding to 10122210000012 its reverse (21000001222101), we get a palindrome (31122211222113).

The spelling of 10122210000012 in words is "ten trillion, one hundred twenty-two billion, two hundred ten million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 5869 11738 17607 23476 35214 64559 70428 129118 193677 240629 258236 318679 387354 481258 637358 721887 774708 956037 962516 1274716 1443774 1912074 2646919 2887548 3505469 3824148 5293838 7010938 7940757 10516407 10587676 13065839 14021876 15881514 21032814 26131678 31763028 39197517 42065628 52263356 78395034 143724229 156790068 287448458 431172687 574896916 862345374 1724690748 1870327051 3740654102 5610981153 7481308204 11221962306 20573597561 22443924612 41147195122 61720792683 76683409091 82294390244 123441585366 153366818182 230050227273 246883170732 306733636364 460100454546 843517500001 920200909092 1687035000002 2530552500003 3374070000004 5061105000006 10122210000012