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12321133131032 = 23113722923370921
BaseRepresentation
bin1011001101001011110011…
…0000110111010100011000
31121121212222221201102100022
42303102330300313110120
53103332140040143112
642112130031330012
72411113110413645
oct263227460672430
947555887642308
1012321133131032
113a203aa494250
12146bb02680908
136b4b548a6c4b
143084bb6cadcc
1516577aa77d72
hexb34bcc37518

12321133131032 has 128 divisors (see below), whose sum is σ = 26108430753600. Its totient is φ = 5401993420800.

The previous prime is 12321133131029. The next prime is 12321133131059. The reversal of 12321133131032 is 23013133112321.

12321133131032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123211331310322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12321133130992 and 12321133131010.

It is a congruent number.

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, 173694932 + ... + 173765852.

Almost surely, 212321133131032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321133131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13054215376800).

12321133131032 is an abundant number, since it is smaller than the sum of its proper divisors (13787297622568).

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

12321133131032 is a wasteful number, since it uses less digits than its factorization.

12321133131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71437 (or 71433 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 12321133131032 its reverse (23013133112321), we get a palindrome (35334266243353).

The spelling of 12321133131032 in words is "twelve trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 229 233 296 407 458 466 814 916 932 1628 1832 1864 2519 2563 3256 5038 5126 8473 8621 10076 10252 16946 17242 20152 20504 33892 34484 53357 67784 68968 70921 93203 94831 106714 141842 186406 189662 213428 283684 372812 379324 426856 567368 586927 745624 758648 780131 1173854 1560262 1974209 2347708 2624077 3120524 3948418 4695416 5248154 6241048 7896836 10496308 15793672 16240909 16524593 20992616 21716299 28864847 32481818 33049186 43432598 57729694 64963636 66098372 86865196 115459388 129927272 132196744 173730392 178649999 181770523 230918776 357299998 363541046 600913633 611409941 714599996 727082092 1201827266 1222819882 1429199992 1454164184 2403654532 2445639764 3784131797 4807309064 4891279528 6610049963 6725509351 7568263594 13220099926 13451018702 15136527188 26440199852 26902037404 30273054376 41625449767 52880399704 53804074808 83250899534 140012876489 166501799068 280025752978 333003598136 560051505956 1120103011912 1540141641379 3080283282758 6160566565516 12321133131032