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122898861252 = 2234797876101
BaseRepresentation
bin111001001110101010…
…1111100110011000100
3102202020000220000120000
41302131111330303010
54003144102030002
6132243045041300
711610356040636
oct1623525746304
9382200800500
10122898861252
1148137226522
121b99a6b6230
13b78794999b
145d3c342a56
1532e471c61c
hex1c9d57ccc4

122898861252 has 120 divisors (see below), whose sum is σ = 325815557760. Its totient is φ = 40389710400.

The previous prime is 122898861251. The next prime is 122898861269. The reversal of 122898861252 is 252168898221.

122898861252 is a `hidden beast` number, since 1 + 228 + 98 + 86 + 1 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (122898861251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20141002 + ... + 20147102.

It is an arithmetic number, because the mean of its divisors is an integer number (2715129648).

Almost surely, 2122898861252 is an apocalyptic number.

122898861252 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 122898861252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162907778880).

122898861252 is an abundant number, since it is smaller than the sum of its proper divisors (202916696508).

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

122898861252 is a wasteful number, since it uses less digits than its factorization.

122898861252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6972 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 122898861252 in words is "one hundred twenty-two billion, eight hundred ninety-eight million, eight hundred sixty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 316 324 474 711 787 948 1422 1574 2133 2361 2844 3148 4266 4722 6101 6399 7083 8532 9444 12202 12798 14166 18303 21249 24404 25596 28332 36606 42498 54909 62173 63747 73212 84996 109818 124346 127494 164727 186519 219636 248692 254988 329454 373038 481979 494181 559557 658908 746076 963958 988362 1119114 1445937 1678671 1927916 1976724 2238228 2891874 3357342 4337811 4801487 5036013 5783748 6714684 8675622 9602974 10072026 13013433 14404461 17351244 19205948 20144052 26026866 28808922 39040299 43213383 52053732 57617844 78080598 86426766 129640149 156161196 172853532 259280298 379317473 388920447 518560596 758634946 777840894 1137952419 1517269892 1555681788 2275904838 3413857257 4551809676 6827714514 10241571771 13655429028 20483143542 30724715313 40966287084 61449430626 122898861252