Search a number
-
+
122912152 = 231110113829
BaseRepresentation
bin1110101001101…
…11110110011000
322120021120202221
413110313312120
5222431142102
620110233424
73021510316
oct724676630
9276246687
10122912152
11634207a0
12351b5874
131c6065ac
14124770b6
15abcd637
hex7537d98

122912152 has 32 divisors (see below), whose sum is σ = 253918800. Its totient is φ = 55312000.

The previous prime is 122912143. The next prime is 122912173. The reversal of 122912152 is 251219221.

It is a super-2 number, since 2×1229121522 = 30214794218542208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1974 + ... + 15802.

Almost surely, 2122912152 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 122912152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126959400).

122912152 is an abundant number, since it is smaller than the sum of its proper divisors (131006648).

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

122912152 is a wasteful number, since it uses less digits than its factorization.

122912152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13947 (or 13943 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 122912152 is about 11086.5753052960. The cubic root of 122912152 is about 497.2005581694.

The spelling of 122912152 in words is "one hundred twenty-two million, nine hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 8888 13829 27658 55316 110632 152119 304238 608476 1216952 1396729 2793458 5586916 11173832 15364019 30728038 61456076 122912152