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122644990272 = 26371934713841
BaseRepresentation
bin111001000111000110…
…1100000100101000000
3102201120100012001001010
41302032031200211000
54002134104142042
6132201535440520
711601154134210
oct1621615404500
9381510161033
10122644990272
11480169994a2
121b929686140
13b74718037c
145d1673a240
1532cc2c159c
hex1c8e360940

122644990272 has 224 divisors, whose sum is σ = 391527060480. Its totient is φ = 33099079680.

The previous prime is 122644990243. The next prime is 122644990297. The reversal of 122644990272 is 272099446221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 8854072 + ... + 8867912.

Almost surely, 2122644990272 is an apocalyptic number.

122644990272 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 122644990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195763530240).

122644990272 is an abundant number, since it is smaller than the sum of its proper divisors (268882070208).

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

122644990272 is a wasteful number, since it uses less digits than its factorization.

122644990272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14229 (or 14219 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 122644990272 in words is "one hundred twenty-two billion, six hundred forty-four million, nine hundred ninety thousand, two hundred seventy-two".