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122121032 = 23114359547
BaseRepresentation
bin1110100011101…
…10101101001000
322111210101120012
413101312231020
5222230333112
620041251052
73012003665
oct721665510
9274711505
10122121032
1162a30380
1234a93a88
131c3ba487
141230ca6c
15aac4022
hex7476b48

122121032 has 64 divisors (see below), whose sum is σ = 260409600. Its totient is φ = 53202240.

The previous prime is 122121017. The next prime is 122121061. The reversal of 122121032 is 230121221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122120998 and 122121016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222983 + ... + 223529.

It is an arithmetic number, because the mean of its divisors is an integer number (4068900).

Almost surely, 2122121032 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 122121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130204800).

122121032 is an abundant number, since it is smaller than the sum of its proper divisors (138288568).

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

122121032 is a wasteful number, since it uses less digits than its factorization.

122121032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 122121032 is about 11050.8385202210. The cubic root of 122121032 is about 496.1315229604.

Adding to 122121032 its reverse (230121221), we get a palindrome (352242253).

The spelling of 122121032 in words is "one hundred twenty-two million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 43 44 59 86 88 118 172 236 344 472 473 547 649 946 1094 1298 1892 2188 2537 2596 3784 4376 5074 5192 6017 10148 12034 20296 23521 24068 27907 32273 47042 48136 55814 64546 94084 111628 129092 188168 223256 258184 258731 355003 517462 710006 1034924 1387739 1420012 2069848 2775478 2840024 5550956 11101912 15265129 30530258 61060516 122121032